Mathematical Methods for Physics and Engineering; A Comprehensive Guide.pdf

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1、ThispageintentionallyleftblankMathematicalMethodsforPhysicsandEngineeringThethirdeditionofthishighlyacclaimedundergraduatetextbookissuitableforteachingallthemathematicseverlikelytobeneededforanundergraduatecourseinanyofthephysicalsciences.Aswellasluciddescriptionsofallthetopicscovered

2、andmanyworkedexamples,itcontainsmorethan800exercises.Anumberofadditionaltopicshavebeenincludedandthetexthasundergonesignificantreorganisationinsomeareas.Newstand-alonechapters:•giveasystematicaccountofthe‘specialfunctions’ofphysicalscience•coveranextendedrangeofpracticalapplicationsofc

3、omplexvariablesincludingWKBmethodsandsaddle-pointintegrationtechniques•provideanintroductiontoquantumoperators.Furthertabulations,ofrelevanceinstatisticsandnumericalintegration,havebeenadded.Inthisedition,all400odd-numberedexercisesareprovidedwithcompleteworkedsolutionsinaseparatemanu

4、al,availabletobothstudentsandtheirteachers;theseareinadditiontothehintsandoutlineanswersgiveninthemaintext.Theeven-numberedexerciseshavenohints,answersorworkedsolutionsandcanbeusedforunaidedhomework;fullsolutionstothemareavailabletoinstructorsonapassword-protectedwebsite.KenRileyreadm

5、athematicsattheUniversityofCambridgeandproceededtoaPh.D.thereintheoreticalandexperimentalnuclearphysics.HebecamearesearchassociateinelementaryparticlephysicsatBrookhaven,andthen,havingtakenupalectureshipattheCavendishLaboratory,Cambridge,continuedthisresearchattheRutherfordLaboratorya

6、ndStanford;inparticularhewasinvolvedintheexperimentaldiscoveryofanumberoftheearlybaryonicresonances.AswellashavingbeenSeniorTutoratClareCollege,wherehehastaughtphysicsandmathematicsforover40years,hehasservedonmanycommitteesconcernedwiththeteachingandexaminingofthesesubjectsatalllevels

7、oftertiaryandundergraduateeducation.Heisalsooneoftheauthorsof200PuzzlingPhysicsProblems.MichaelHobsonreadnaturalsciencesattheUniversityofCambridge,spe-cialisingintheoreticalphysics,andremainedattheCavendishLaboratorytocompleteaPh.D.inthephysicsofstar-formation.AsaresearchfellowatTrini

8、tyHal